3 papers
math.PR2020
Sensitivity of steady states in a degenerately-damped stochastic Lorenz system
Juraj Foldes, Nathan E. Glatt-Holtz, David P. Herzog
We study stability of solutions for a randomly driven and degenerately damped version of the Lorenz '63 model. Specifically, we prove that when damping is absent in one of the temp…
math.AP2020
Singular radial solutions for the Lin-Ni-Takagi equation
Juraj Foldes, Jean-Baptiste Casteras
We study singular radially symmetric solution to the Lin-Ni-Takagi equation for a supercritical power non-linearity in dimension . It is shown that for any ball and any $k…
math.AP2016
Paths to uniqueness of critical points and applications to partial differential equations
Denis Bonheure, Juraj Földes, Ederson Moreira dos Santos +2
We prove a unified and general criterion for the uniqueness of critical points of a functional in the presence of constraints such as positivity, boundedness, or fixed mass. Our me…